Note on the Modified q-Bernstein Polynomials

Abstract

In the present paper, we propose the modified q-Bernstein polynomials of degree n, which are different q-Bernstein polynomials of Phillips(see [4]). From these the modified q-Bernstein polynomials of degree n, we derive some interesting recurrence formulae for the modified q-Bernstein polynomials.

11 pages

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• q-Bernstein polynomials, q-Stirling numbers and q-Bernoulli polynomials